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Finding the Fourth Proportional to 120,871.40, 181,220.25 and 56,793.41

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Solution

The fourth proportional to 120,871.40, 181,220.25 and 56,793.41 is: 85,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,871.40 : 181,220.25 = 56,793.41 : x
  2. Step 2: Convert to fraction form
    120,871.40/181,220.25 = 56,793.41/x
  3. Step 3: Cross multiply
    120,871.40x = 181,220.25 × 56,793.41
  4. Step 4: Simplify right side
    120,871.40x = 10,292,114,910.47
  5. Step 5: Solve for x
    x = 10,292,114,910.47/120,871.40
  6. Step 6: Final answer
    x = 85,149.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.